Question

let A (1 , 2, -3), B (2, 1, 4) and C (0, 0, 2) be...

let A (1 , 2, -3), B (2, 1, 4) and C (0, 0, 2) be three points in R^3

a) give the parametric equation of the line orthogonal to the plane containing A, B and C and passing through point A.

b) find the area of the triangle ABC

linear-algebra question

show clear steps and detailed solutions

solve in 30 minutes for thumbs up rating :)

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Let A = (−5,3,5), B = (−10,0,2), C = (−5,0,−3), and D = (0,3,0). a) Find...
Let A = (−5,3,5), B = (−10,0,2), C = (−5,0,−3), and D = (0,3,0). a) Find the area of the parallelogram determined by these four points. b) The area of the triangle ABC c) The area of the triangle ABD.
1. A plane passes through A(1, 2, 3), B(1, -1, 0) and C(2, -3, -4). Determine...
1. A plane passes through A(1, 2, 3), B(1, -1, 0) and C(2, -3, -4). Determine vector and parametric equations of the plane. You must show and explain all steps for full marks. Use AB and AC as your direction vectors and point A as your starting (x,y,z) value. 2. Determine if the point (4,-2,0) lies in the plane with vector equation (x, y, z) = (2, 0, -1) + s(4, -2, 1) + t(-3, -1, 2).
1) Let a = 〈4,−5,−2〉 and b = 〈2,−4,−5〉 Find the projection of b onto a....
1) Let a = 〈4,−5,−2〉 and b = 〈2,−4,−5〉 Find the projection of b onto a. proj a b= 2) Find the area of a triangle PQR, where P=(−2,−4,0), Q=(1,2,−1), and R=(−3,−6,5) 3) Complete the parametric equations of the line through the points (7,6,-1) and (-4,4,8) x(t)=7−11 y(t)= z(t)=
Let P be the plane given by the equation 2x + y − 3z = 2....
Let P be the plane given by the equation 2x + y − 3z = 2. The point Q(1, 2, 3) is not on the plane P, the point R is on the plane P, and the line L1 through Q and R is orthogonal to the plane P. Let W be another point (1, 1, 3). Find parametric equations of the line L2 that passes through points W and R.
Let a = 2i -3k; b= i+j-k 1) Find a x b. 2) Find the vector...
Let a = 2i -3k; b= i+j-k 1) Find a x b. 2) Find the vector projection of a and b. 3) Find the equation of the plane passing through a with normal b. 4) Find the equation of the line passing through the points a and b. Please help and show your steps. Thank you in advance.
4) Consider the polar curve r=e2theta a) Find the parametric equations x = f(θ), y =...
4) Consider the polar curve r=e2theta a) Find the parametric equations x = f(θ), y = g(θ) for this curve. b) Find the slope of the line tangent to this curve when θ=π. 6) a)Suppose r(t) = < cos(3t), sin(3t),4t >. Find the equation of the tangent line to r(t) at the point (-1, 0, 4pi). b) Find a vector orthogonal to the plane through the points P (1, 1, 1), Q(2, 0, 3), and R(1, 1, 2) and the...
3. Consider the plane with a normal vector 〈2, 5, −1〉 which contains the point (3,...
3. Consider the plane with a normal vector 〈2, 5, −1〉 which contains the point (3, 5, −1), and the plane containing the points (0, 2, 1), (−1, −1, 1), and (1, 2, −2). Determine whether the planes are parallel, orthogonal, or neither.
Let A = [1 5 ; 3 1 ; 2 -4] and b = [1 ;...
Let A = [1 5 ; 3 1 ; 2 -4] and b = [1 ; 0 ; 3] (where semicolons represent a new row) Is equation Ax=b consistent? Let b(hat) be the orthogonal projection of b onto Col(A). Find b(hat). Let x(hat) the least square solution of Ax=b. Use the formula x(hat) = (A^(T)A)^(−1) A^(T)b to compute x(hat). (A^(T) is A transpose) Verify that x(hat) is the solution of Ax=b(hat).
6) please show steps and explanation. a)Suppose r(t) = < cos(3t), sin(3t),4t >. Find the equation...
6) please show steps and explanation. a)Suppose r(t) = < cos(3t), sin(3t),4t >. Find the equation of the tangent line to r(t) at the point (-1, 0, 4pi). b) Find a vector orthogonal to the plane through the points P (1, 1, 1), Q(2, 0, 3), and R(1, 1, 2) and the area of the triangle PQR.
Find the area of a triangle with vertices A (1, 4, -1), B (-1, 2, 0),...
Find the area of a triangle with vertices A (1, 4, -1), B (-1, 2, 0), C (1, 1, 3).
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT